中文摘要：

介绍了作战环的概念,建立了基于作战环的武器装备体系作战网络模型,提出了有向自然连通度指标作为作战网络抗毁性测度。为验证其可行性与有效性,设计了3个仿真实验：边减少、边增加与连接概率增加仿真实验,比较分析有向自然连通度与Laplace矩阵谱半径分别作为抗毁性测度指标的评估效果。研究表明：与Laplace矩阵谱半径指标相比,有向自然连通度指标更加敏感精准;抑制作战网络侦察节点侦察能力对抗毁性影响最为显著;可以通过提高武器装备体系侦察信息准确性、指控能力、火力打击能力及通信能力来增强作战网络抗毁性。

英文摘要：

This paper introduces the concept of operation loop,and a network model of combat networks of Weapon System-of-systems based on operation loop.Then the concept of directed natural connectivity is proposed and is used to investigate the robustness of combat networks.To verify the feasibility and effectiveness of directed natural connectivity in evaluating the robustness of combat networks,three scenarios are designed：edge destruction,edge increasing and connection probability increasing.The robustness of combat networks measured by spectral radius of Laplacian matrix and directed natural connectivity are compared under the three scenarios.The results suggested that the directed natural connectivity allows a sensitive and precise quantitative analysis for the robustness of combat network.It is also showed that robust of combat networks will decrease dramatically if intelligence reconnaissance and acquisition capabilities of sensor nodes are restrained.Our results may lead to useful insights on designing a more robust combat networks,such as improving the accuracy of intelligence acquisition,ensuring instructions delivered accurately,strengthening the capability of precision strike,and enhancing communication capabilities of armaments etc.